1. Panagopoulos, A. D. and J. D. Kanellopoulos, "On the rain attenuation dynamics: Spatial-temporal analysis of rainfall rate and fade duration statistics," International Journal of Satellite Communication and Networking, Vol. 21, No. 6, 595-611, 2003.
doi:10.1002/sat.763 Google Scholar
2. Bell, T. L., "A space-time stochastic model of rainfall for satellite remote-sensing studies," J. Geophysical Research, Vol. 92, No. D8, 9631-9643, August 1987.
doi:10.1029/JD092iD08p09631 Google Scholar
3. Grémont, B. C. and A. Tawfik, "Markov modelling of rain attenuation for satellite and terrestrial communications," 12th International Conference on Antennas and Propagation, 369-373, 2003. Google Scholar
4. Paulson, K. S., C. Ranatunga, and T. Bellerby, "A method to estimate trends in distributions of 1 min rain rates from numerical weather prediction data," Radio Science, Vol. 50, 931-940, 2015.
doi:10.1002/2015RS005651 Google Scholar
5. Voss, R. F., "Random fractal forgeries," Fundamental Algorithms for Computer Graphics, 805-835, Springer Berlin Heidelberg, 1985. Google Scholar
6. Grémont, B. C. and M. Filip, "Spatio-temporal rain attenuation model for application to fade mitigation techniques," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 5, 1245-1256, 2004.
doi:10.1109/TAP.2004.827501 Google Scholar
7. Pathirana, A., S. Herath, and T. Yamada, "Estimating rainfall distributions at high temporal resolutions using a multifractal model," Hydrology and Earth System Sciences Discussions, Vol. 7, No. 5, 668-679, 2003.
doi:10.5194/hess-7-668-2003 Google Scholar
8. Venezian, D., R. L. Bras, and J. D. Niemann, "Nonlinearity and self-similarity of rainfall in time and a stochastic model," Journal of Geophysical Research: Atmospheres (1984-2012), Vol. 101, No. D21, 26371-26392, 1996.
doi:10.1029/96JD01658 Google Scholar
9. Paulson, K. S., "Fractal interpolation of rain rate time series," Journal of Geophysical Research: Atmospheres, Vol. 109, No. D22, November 27, 2004. Google Scholar
10. Deidda, R., R. Benzi, and F. Siccardi, "Multifractal modeling of anomalous scaling laws in rainfall," Water Resource Research, Vol. 35, No. 6, 1853-1867, June 1999.
doi:10.1029/1999WR900036 Google Scholar
11. Mandelbrot, B., "How long is the coast of Britain," Science, Vol. 156, No. 3775, 636-638, 1967.
doi:10.1126/science.156.3775.636 Google Scholar
12. Lovejoy, S. and B. B. Mandelbrot, "Fractal properties of rain, and a fractal model," Tellus, Series A - Dynamic Meteorology and Oceanography, Vol. 37, 209-232, 1985.
doi:10.1111/j.1600-0870.1985.tb00423.x Google Scholar
13. Lovejoy, S. and D. Schertzer, "Fractals, raindrops and resolution dependence of rain measurements," Journal of Applied Meteorology, Vol. 29, No. 9, 1167-1170, 1990.
doi:10.1175/1520-0450(1990)029<1167:FRARDO>2.0.CO;2 Google Scholar
14. Pathirana, A., S. Herath, and K. Musiake, "Scaling rainfall series with a multifractal model," Annual Journal of Hydraulic Engineering, Vol. 45, 295-300, 2001.
doi:10.2208/prohe.45.295 Google Scholar
15. Gaume, E., N. Mouhous, and H. Andrieu, "Rainfall stochastic disaggregation models: Calibration and validation of a multiplicative cascade model," Advances in Water Resources, Vol. 30, No. 5, 1301-1319, 2007.
doi:10.1016/j.advwatres.2006.11.007 Google Scholar
16. Wolfensberger, D., A. Gires, I. Tchiguirinskaia, and D. Schertzer, "Multifractal evaluation of simulated precipitation from the COSMO NWP model," Atmospheric Chemistry and Physics, Vol. 17, 14253-14273, 2017.
doi:10.5194/acp-17-14253-2017 Google Scholar
17. De Lima, M. I. P. and J. I. M. P. de Lima, "Investigation the multifractality of point precipitation in the Madeira archipelago," Nonlinear Processes in Geophysics, Vol. 16, 299-311, 2009.
doi:10.5194/npg-16-299-2009 Google Scholar
18. Deidda, R., "Rainfall downscaling in a space-time multifractal framework," Water Resources Research, Vol. 36, No. 7, 1779-1794, 2000.
doi:10.1029/2000WR900038 Google Scholar
19. Taylor, G. I., "The spectrum of turbulence," Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol. 164, No. 919, 476-490, February 1938.
doi:10.1098/rspa.1938.0032 Google Scholar
20. Calenda, G., E. Gorgucci, F. Napolitano, A. Novella, and E. Volpi, "Multifractal analysis of radar rainfall fields over the area of Rome," Advances in Geosciences, Vol. 2, No. 2, 293-299, 2005.
doi:10.5194/adgeo-2-293-2005 Google Scholar
21. Deidda, R., M. G. Badas, and E. Piga, "Space-time multifractality of remotely sensed rainfall fields," Journal of Hydrology, Vol. 322, No. 1-4, 2-13, 2006.
doi:10.1016/j.jhydrol.2005.02.036 Google Scholar
22. Yang, X., X. Jie, D.-L. Liu, F. Ji, and L. Wang, "Spatial interpolation of daily rainfall data for local climate impact assessment over greater sydney region," Advances in Meteorology, Vol. 2015, Article ID 563629, 12 pages, June 2015. Google Scholar
23. Paulson, K. S. and X. Zhang, "The simulation of rain fade on arbitrary microwave link networks by the interpolation of rain radar data," Radio Science, Vol. 44, No. 2, April 2009. Google Scholar
24. Venugopal, V., E. Foufoula-Georgiou, and V. Sapozhnikov, "Evidence of dynamic scaling in space-time rainfall," Journal of Geophysical Research: Atmospheres (1984-2012), Vol. 104, No. D24, 31599-31610, 1999.
doi:10.1029/1999JD900437 Google Scholar
25. Venugopal, V., E. Foufoula-Georgiou, and V. Sapozhnikov, "A space-time downscaling model for rainfall," Journal of Geophysical Research, Vol. 104, No. D4, 19705-19721, 1999.
doi:10.1029/1999JD900338 Google Scholar
26. Deidda, R., M. G. Badas, and E. Piga, "Space-time multifractality of remotely sensed rainfall fields," Journal of Hydrology, Vol. 322, No. 1, 2-13, 2006.
doi:10.1016/j.jhydrol.2005.02.036 Google Scholar
27. Yang, G., B. Gremont, D. Ndzi, and D. J. Brown, "Characterization of rain fields for UK satellite networks," Ka and Broadband Communications: Navigation and Earth Observation Conference, October 2011. Google Scholar
28. Luini, L. and C. Capsoni, "The impact of space and time averaging on the spatial correlation of rainfall," Radio Science, Vol. 47, No. 3, 2012.
doi:10.1029/2011RS004915 Google Scholar
29. Kundu, P. K. and T. L. Bell, "A stochastic model of space-time variability of mesoscale rainfall: Statistics of spatial averages," Water Resources Research, Vol. 39, No. 12, 2003.
doi:10.1029/2002WR001802 Google Scholar
30. Yang, G., B. Gremont, L. Yang, M. Ibrahim, and L. Bai, "Space-time channel model for rain-affected communication networks," IEEE Transactions on Antennas and Propagation, Vol. 67, No. 7, 4768-4776, 2019.
doi:10.1109/TAP.2019.2907601 Google Scholar
31. Filip, M. and E. Vilar, "Optimum utilization of the channel capacity of a satellite link in the presence of amplitude scintillations and rain attenuation," IEEE Transactions on Communications, Vol. 38, No. 9, 1958-1965, 1990.
doi:10.1109/26.61477 Google Scholar
32. International Telecommunication Union (ITU) "Characteristics of precipitation for propagation modelling,", ITU-R Recomm. P. 837-7, Geneva, 2017. Google Scholar
33. Jeannin, G., G. Carrie, M. Rodrigues, L. Castanet, and F. Lacoste, "Study of rain attenuation space-time channel model for tropical and equatorial areas," EuCAP 2009, 1956-Berlin, Germany, March 23-27, 1960, 2009. Google Scholar
34. Goldhirsh, J., B. H. Musiani, A. W. Dissanayake, and K.-T. Lin, "Three-site space-diversity experiment at 20 GHz using ACTS in the Eastern United States," Proceeding of IEEE, Vol. 85, 970-980, 1997.
doi:10.1109/5.598419 Google Scholar
35. Keys, R. G., "Cubic convolution interpolation for digital image processing," IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 29, No. 6, 1153-1160, 1981.
doi:10.1109/TASSP.1981.1163711 Google Scholar
36. International Telecommunication Union (ITU) "Acquisition, presentation and analysis of data in studies of tropospheric propagation,", ITU-R Recomm. P. 311-14, Geneva, Switzerland, 2013. Google Scholar